106238600 has 96 divisors (see below), whose sum is σ = 275373000. Its totient is φ = 37847040.

The previous prime is 106238599. The next prime is 106238609. The reversal of 106238600 is 6832601.

It can be written as a sum of positive squares in 12 ways, for example, as 7474756 + 98763844 = 2734^2 + 9938^2 .

It is a super-2 number, since 2×106238600² = 22573280259920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 106238600.

It is not an unprimeable number, because it can be changed into a prime (106238609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74696 + ... + 76104.

Almost surely, 2^106238600 is an apocalyptic number.

106238600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106238600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137686500).

106238600 is an abundant number, since it is smaller than the sum of its proper divisors (169134400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106238600 is a wasteful number, since it uses less digits than its factorization.

106238600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 106238600 is about 10307.2110679854. The cubic root of 106238600 is about 473.6171786021.

The spelling of 106238600 in words is "one hundred six million, two hundred thirty-eight thousand, six hundred".